Strong convergence of hybrid Bregman projection algorithm for split feasibility and fixed point problems in Banach spaces

Volume 10, Issue 1, pp 192--204 http://dx.doi.org/10.22436/jnsa.010.01.19

Publication Date: January 27, 2017 Submission Date: June 16, 2016

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Authors

Jin-Zuo Chen - Department of Mathematics, Shanghai Normal University, Shanghai, 200234, China. Hui-Ying Hu - Department of Mathematics, Shanghai Normal University, Shanghai, 200234, China. Lu-Chuan Ceng - Department of Mathematics, Shanghai Normal University, Shanghai, 200234, China.

Abstract

In this paper, we consider and study split feasibility and fixed point problems involved in Bregman quasi-strictly pseudocontractive mapping in Banach spaces. It is proven that the sequences generated by the proposed iterative algorithm converge strongly to the common solution of split feasibility and fixed point problems.

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Keywords

• Split feasibility problem
• fixed point problem
• Bregman quasi-strictly pseudo-contractive mapping
• Bregman projection
• strong convergence.

MSC

•  47J25
•  47H10
•  65J15
•  90C25

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